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Finding the Third Proportional to 958,506 and 2,051,656

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Solution

The third proportional to 958,506 and 2,051,656 is: 4,391,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    958,506 : 2,051,656 = 2,051,656 : x
  2. Step 2: Convert to fraction form
    958,506/2,051,656 = 2,051,656/x
  3. Step 3: Cross multiply
    958,506x = 2,051,656 × 2,051,656
  4. Step 4: Simplify right side
    958,506x = 4,209,292,342,336
  5. Step 5: Solve for x
    x = 4,209,292,342,336/958,506
  6. Step 6: Final answer
    x = 4,391,513.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.